非结构多边形网格滑移线开穴算法

计算物理 ›› 2017, Vol. 34 ›› Issue (3): 273-282.

非结构多边形网格滑移线开穴算法

林文洲, 林忠, 刘全

北京应用物理与计算数学研究所, 北京 100094

收稿日期:2016-03-03 修回日期:2016-06-02 出版日期:2017-05-25 发布日期:2017-05-25
作者简介:林文洲(1980-),男,副研究员,E-mail:a3238wen@hotmail.com
基金资助:
国家自然科学基金（11372051）及中国工程物理研究院院长基金（2014-1-042）资助项目

An Open Void Method of Slide Line on Unstructured N-polygon Grids

LIN Wenzhou, LI Zhong, LIU Quan

Institute of Applied Physics and Computational Mathematics, Beijing 100094, China

Received:2016-03-03 Revised:2016-06-02 Online:2017-05-25 Published:2017-05-25

摘要/Abstract

摘要： 基于非结构任意多边形网格管理体系及束缚滑移技术，针对多介质多次加卸载大变形问题的模拟，发展滑移线开穴算法，并利用金属碰撞分离模型进行验证.给出滑移线上的点和网格的开闭穴状态判别方法及网格开闭情况下滑移线上点的速度计算方法.该滑移计算技术将传统结构网格的开穴算法推广到拉氏非结构多边形网格中，保留拉氏滑移算法无缝连接和较好模拟物质界面的优点，实现了模拟实际问题中物质界面开闭功能.在金属碰撞分离模型中采用多种网格、不同界面形状和多介质等条件进行测试，证明了算法的正确性.

关键词: 滑移, 开穴, 拉氏, 非结构网格, 有限体积

Abstract: We develop an open void method of slide line, based on unstructured arbitrary N-polygon grids managed system and tied slide technology, for simulation of large deformation problem of frequently multi-medium loading and unloading. Validity verification was done with metal hit and leave model. Method of distinguishing point and grid's open or closed void state and calculating velocity of point on slide line is given. This slide technology extends open void method of traditional structured grid to unstructured arbitrary N-polygon grids, and keeps merit of no void connectivity and simulating interface well. It has capability of simulating open and closed interface in practical problem. We did test in metal hit and leave model with conditions of many grids, different velocity and multi-medium, which proves validity of the method.

Key words: slide, open void, Lagrangian, unstructured N-polygon grids, finite volume

中图分类号:

林文洲, 林忠, 刘全. 非结构多边形网格滑移线开穴算法[J]. 计算物理, 2017, 34(3): 273-282.

LIN Wenzhou, LI Zhong, LIU Quan. An Open Void Method of Slide Line on Unstructured N-polygon Grids[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2017, 34(3): 273-282.

参考文献

[1] WILKINS M L. Calculation of elastic-plastic flow[M]//Adler B, Fembach S, and Rotenberg M. Methods in computational physics:Vol. 3. New York:Academic Press, 1964:211-263.
[2] BERTHOLF L D, BENZLEY S E. TOODY Ⅱ-A computer program for two-dimensional wave propagation[R]. Albuquerque:Sandia Laboratories, 1968. SC-RR-68-41.
[3] MAENDEN G, SACK S. The TENSOR code[M]//Adler B, Fembach S and Rotenberg M. Methods in computational physics:Vol.3. New York:Academic Press, 1964:181-210.
[4] HALLQUIST J O, GOUDREAU G L, BENSON D J. Sliding interfaces with contact impact in large scale Lagrangian computations[J]. Computer Methods in Applied Mechanics and Engineering, 1985,51:107-37.
[5] 顾文彬, 赵有守, 顾岳鹏. 带摩擦节点约束罚函数滑移线算法[J]. 爆炸与冲击, 1998, 18(1).
[6] 张凤国, 韩冰, 何长江. 侵蚀滑移计算方法的改进[J]. 爆炸与冲击, 2011, 31(3):322-325.
[7] WANG Ruili, LIN Zhong, LIU Quan. The calcaulted slide surface based on the unstructed arbitrary N-polygon grids[C]. 15th China Aerodynamics Symposium on Physical Gas Dynamics, Yin Chuan, China, 2011.
[8] 王瑞利, 林忠, 倪国喜. 基于任意多边形拉氏网格的有限体积方法研究及应用[J]. 数值计算与计算机应用, 2006, 27(1):31-38.
[9] WANG Ruili, LIN Zhong, WEI Lan. Reconnection-based Lagrangian-local remeshing method for large deformations[J]. Chinese J Comput Phys, 2011, 28(3):520-525.
[10] LOUBERE R, MAIRE P H, SHASHKOV M, et al. ReALE:A reconnection-based arbitrary-Lagrangian-Eulerian method[J]. Journal of Computational Physics, 2010, 229:4724-4761.
[11] 王瑞利, 林忠, 魏兰. 针对流体大变形问题网格邻域可变技术[J]. 计算物理, 2011, 28(4):501-506.
[12] 王瑞利, 刘全, 林忠. 邻域可变技术及其在闭穴滑移计算中的应用[J]. 计算物理, 2012, 29(5):667-674.

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